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'''Draw a z = f(x,y) surface specified as
a string or as a reference to an external function.
Red points indicate where the function does not exist!'''
from vedo import dataurl, sin, cos, log, show, Text2D
from vedo.pyplot import plot
doc = Text2D(__doc__, pos='bottom-left', c='darkgreen', font='Quikhand')
############################################################### REAL
def f(x, y):
return sin(2*x*y) * cos(3*y)/2
f1 = plot(f, c='summer') # use a colormap
# red dots are shown where the function does not exist (y>x):
def f(x, y):
return sin(3*x) * log(x-y)/3
f2 = plot(f, texture=dataurl+'textures/paper3.jpg')
# specify x and y ranges and z vertical limits:
def f(x, y):
return log(x**2+y**2-1)
f3 = plot(
f,
xlim=[-2,2],
ylim=[-1,8],
zlim=[-1,None],
texture=dataurl+'textures/paper1.jpg',
)
show([(f1, 'y = sin(2*x*y) * cos(3*y) /2', doc),
(f2, 'y = sin(3*x)*log(x-y)/3'),
(f3, 'y = log(x**2+y**2-1)'),
], N=3, sharecam=False,
).close()
############################################################## COMPLEX
comment = """Vertical axis shows the real part of complex z:
z = sin(log(x:doty))
Color map the value of the imaginary part
(green=positive, purple=negative)"""
plt = plot(lambda x,y: sin(log(x*y))/25, mode='complex', bins=(51,51))
show(plt, comment, viewup='z').close()
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